Universal Quantum Gate Set for Multi-Mode Schrödinger Cat States Stabilized by Non-Local Dissipation Engineering
Abstract
Schrödinger cat states provide a hardware-efficient platform for bosonic quantum error correction by encoding logical information in protected manifolds of harmonic oscillators. While previous work has demonstrated the dissipative stabilization of multi-mode Schrödinger cat states as robust quantum memories, a framework for universal quantum computation has remained unavailable. Here we work towards this by introducing a universal gate set for dissipatively stabilized multi-mode cat qubits as a necessary resource for computation. Using a chain of Kerr non-linear oscillators coupled through engineered non-local dissipation and an effective low-dimensional description, we show how single-qubit control can be achieved through arbitrary rotation around the X-axis and π/2-rotation around the Z-axis. We further show how coupling two such stabilized arrays through just one oscillator on each respective array enables coherent entangling operations through implementation of the XXπ/2 gate. Numerical simulations demonstrate high-fidelity gate dynamics and entanglement generation under realistic parameters. Finally, we analyze the effects of induced and intrinsic photon loss, disorder, and the validity regime of the effective low-dimensional theory. Our results establish dissipatively stabilized multi-mode Schrödinger cat states as a potential architecture for universal bosonic quantum computation.
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BibTeX
@misc{lindolsen2026universal,
title = {{Universal Quantum Gate Set for Multi-Mode Schrödinger Cat States Stabilized by Non-Local Dissipation Engineering}},
author = {Jesper Lind-Olsen and Jonas Lidal and Tron Omland and Joakim Bergli},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.13975},
eprint = {2607.13975},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.13975},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - Universal Quantum Gate Set for Multi-Mode Schrödinger Cat States Stabilized by Non-Local Dissipation Engineering
AU - Jesper Lind-Olsen
AU - Jonas Lidal
AU - Tron Omland
AU - Joakim Bergli
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2607.13975
UR - https://arxiv.org/abs/2607.13975
AB - Schrödinger cat states provide a hardware-efficient platform for bosonic quantum error correction by encoding logical information in protected manifolds of harmonic oscillators. While previous work has demonstrated the dissipative stabilization of multi-mode Schrödinger cat states as robust quantum memories, a framework for universal quantum computation has remained unavailable. Here we work towards this by introducing a universal gate set for dissipatively stabilized multi-mode cat qubits as a necessary resource for computation. Using a chain of Kerr non-linear oscillators coupled through engineered non-local dissipation and an effective low-dimensional description, we show how single-qubit control can be achieved through arbitrary rotation around the X-axis and π/2-rotation around the Z-axis. We further show how coupling two such stabilized arrays through just one oscillator on each respective array enables coherent entangling operations through implementation of the XX_π/2 gate. Numerical simulations demonstrate high-fidelity gate dynamics and entanglement generation under realistic parameters. Finally, we analyze the effects of induced and intrinsic photon loss, disorder, and the validity regime of the effective low-dimensional theory. Our results establish dissipatively stabilized multi-mode Schrödinger cat states as a potential architecture for universal bosonic quantum computation.
ER -